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The purpose of this article is to investigate fixed point problems of total asymptotically nonexpansive mappings via two different iterative algorithms. We obtain strong and convergence theorems in the framework of Hilbert spaces. The main results improve and extend the recent corresponding results. [ABSTRACT FROM AUTHOR]

The purpose of this article is to investigate fixed point problems of a nonexpansive mapping, solutions of quasi variational inclusion problem, and solutions of a generalized equilibrium problem based on a splitting method. Our convergence theorems are established under mild restrictions imposed on the control sequences. The main results improve and extend the recent corresponding results. [ABSTRACT FROM AUTHOR]

In this paper, a hybrid algorithm is investigated for solving common solutions of a generalized equilibrium problem, a variational inequality, and fixed point problems of an asymptotically strict pseudocontraction. Weak convergence theorems are established in the framework of real Hilbert spaces. [ABSTRACT FROM AUTHOR]